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Optimal manpower policies in a dynamic staff‐maximizing bureau
Author(s) -
Hartl Richard F.,
Jørgensen Steffen
Publication year - 1985
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660060106
Subject(s) - agency (philosophy) , differentiable function , control (management) , operations research , boundary (topology) , operations management , business , computer science , economics , mathematics , management , mathematical analysis , philosophy , epistemology
The dynamic problem of optimal manpower planning in a public agency is considered. The budget available to the bureau is replenished at a rate proportional to the output. The objective of the bureau manager is to maximize the staff at the terminal time. The model is non‐linear in the control, the hiring rate. Cases where a deficit is allowed are also considered. Boundary solutions are investigated for the case of no deficit, and it is shown that the hiring rate is non‐differentiable but continuous.